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Families of not perfectly straight knots

Published 13 Apr 2018 in math.GT | (1804.04799v2)

Abstract: We present two families of knots which have straight number higher than crossing number. In the case of the second family, we have computed the straight number explicitly. We also give a general theorem about alternating knots that states adding an even number of crossings to a twist region will not change whether the knots are perfectly straight or not perfectly straight.

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